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CBSE
Class 10
Science
Science
Electricity

Formula Sheet

Electricity

Formula Sheet

Electricity

Explore the fundamentals of electricity, including circuits, current, voltage, and resistance, to understand how electrical devices operate.

Electricity – Formula & Equation Sheet

Essential formulas and equations from Science, tailored for Class X in Science.

This one-pager compiles key formulas and equations from the Electricity chapter of Science. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.

Formula and Equation Sheet

Formula sheet

Key concepts & formulas

Essential formulas, key terms, and important concepts for quick reference and revision.

Formulas

1

I = Q/t

I represents current (amperes), Q is charge (coulombs), and t is time (seconds). This formula calculates the current as the rate of flow of charge. Tip: 1 A = 1 C/s.

2

V = W/Q

V is potential difference (volts), W is work done (joules), and Q is charge (coulombs). It defines potential difference as work done per unit charge. Example: Moving 2 C with 24 J work gives V = 12 V.

3

R = ρl/A

R is resistance (ohms), ρ is resistivity (Ωm), l is length (m), and A is cross-sectional area (m²). This shows resistance depends on material and dimensions. Tip: Longer or thinner wires have higher resistance.

4

P = VI

P is power (watts), V is potential difference (volts), and I is current (amperes). It calculates the power consumed by a device. Example: A bulb at 220 V and 0.5 A uses 110 W.

5

H = I²Rt

H is heat (joules), I is current (amperes), R is resistance (ohms), and t is time (seconds). Joule's law of heating. Tip: Heat increases with the square of current.

6

1/Rp = 1/R₁ + 1/R₂ + ...

Rp is equivalent resistance (ohms) of parallel resistors R₁, R₂, etc. The total resistance decreases in parallel. Example: Two 10 Ω resistors in parallel give 5 Ω.

7

Rs = R₁ + R₂ + ...

Rs is equivalent resistance (ohms) of series resistors R₁, R₂, etc. The total resistance adds up in series. Example: Two 10 Ω resistors in series give 20 Ω.

8

V = IR

V is potential difference (volts), I is current (amperes), and R is resistance (ohms). Ohm's law, fundamental for circuit analysis. Tip: Directly proportional relationship.

9

E = VIt

E is energy (joules), V is potential difference (volts), I is current (amperes), and t is time (seconds). Calculates energy consumed by a device. Example: 220 V, 0.5 A for 1 hour is 396 kJ.

10

P = I²R

P is power (watts), I is current (amperes), and R is resistance (ohms). Alternative power formula, useful when voltage is not known. Derived from P = VI and V = IR.

Equations

1

Ohm’s Law: V = IR

Defines the relationship between voltage, current, and resistance in a conductor. Essential for solving circuit problems. Real-world use: Designing electrical circuits.

2

Series Resistance: Rs = R₁ + R₂ + R₃ + ...

Total resistance in a series circuit is the sum of individual resistances. Tip: Current remains the same across each resistor.

3

Parallel Resistance: 1/Rp = 1/R₁ + 1/R₂ + 1/R₃ + ...

Reciprocal of total resistance in parallel is the sum of reciprocals of individual resistances. Tip: Voltage remains the same across each resistor.

4

Power: P = V²/R

Calculates power using voltage and resistance. Derived from P = VI and Ohm's law. Useful when current is not directly known.

5

Current: I = V/R

Calculates current using voltage and resistance. Direct application of Ohm's law. Example: 12 V across 4 Ω gives 3 A.

6

Energy: E = P × t

Energy consumed is power multiplied by time. Real-world use: Calculating electricity bills. Example: 100 W for 10 hours is 1 kWh.

7

Resistivity: ρ = RA/l

Relates resistance to material properties and dimensions. Tip: Resistivity is a material property, independent of shape.

8

Charge: Q = It

Charge is current multiplied by time. Useful for calculating total charge flow. Example: 2 A for 5 seconds is 10 C.

9

Work: W = VQ

Work done to move charge across a potential difference. Example: Moving 2 C across 12 V requires 24 J.

10

Heat: H = VIt

Heat produced in a resistor is voltage times current times time. Alternative to H = I²Rt, emphasizing voltage's role.

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